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Finding the Fourth Proportional to 3,687.86, 5,529.87 and 1,222.43

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Solution

The fourth proportional to 3,687.86, 5,529.87 and 1,222.43 is: 1,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.86 : 5,529.87 = 1,222.43 : x
  2. Step 2: Convert to fraction form
    3,687.86/5,529.87 = 1,222.43/x
  3. Step 3: Cross multiply
    3,687.86x = 5,529.87 × 1,222.43
  4. Step 4: Simplify right side
    3,687.86x = 6,759,851.33
  5. Step 5: Solve for x
    x = 6,759,851.33/3,687.86
  6. Step 6: Final answer
    x = 1,833.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.